First Advisor

Brittany Erickson

Date of Award

8-21-2017

Document Type

Thesis

Degree Name

Bachelor of Science (B.S.) in Mathematics and University Honors

Department

Mathematics and Statistics

Subjects

Anisotropy -- Mathematical models, Earthquakes

DOI

10.15760/honors.467

Abstract

We have developed a methodology for incorporating and studying the effects of anisotropy when simulating the full earthquake cycle. The method is developed for a vertical strike-slip fault in two-dimensions, with antiplane motion. Inertial terms are dropped from the elastic anisotropic wave equation to obtain a steady state problem. This resulting equilibrium equation is discretized with a finite difference method. A nonlinear rate-and-state friction law is enforced at the fault. Time stepping is adaptive to capture highly varying time scales, and as such is able to produce self-consistent initial conditions.

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Persistent Identifier

http://archives.pdx.edu/ds/psu/21076

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